At that point it's retrieving results from a database.
EDIT: how would OP address my main point, which is that det. inference is functionally equivalent to any arbitrary keyed data storage/retrieval system?
This is not true. Fabrice Bellard's ts_zip [0] and ts_sms [1] uses a LLM to compress text. It beats stuff like .xz etc but of course is much slower. Now.. if it were non-deterministic, you would have trouble decompressing exactly into what it compressed. So, it uses a deterministic LLM
[0] https://bellard.org/ts_zip/ https://news.ycombinator.com/item?id=37152978
[1] https://bellard.org/ts_sms/ https://lobste.rs/s/5srkwz/fabrice_bellard_s_ts_sms_short_me... (funny enough many people comment that, if it uses LLM, it must be lossy. This is not the case. It's compared to xz in the page because it's lossless)
Temperature is an easy knob to twist, after all. Somebody (not me I’m too poor to pay the lawyers) should do a search and find where the crime starts.